Question

Let B be between A and C.

AC = 22, BC = x + 14, and AB = x + 10.
Find x.
A) 2
B) 11
C) 15
D) 11

Answer 1

The sum of AB and BC must equal AC. Given the equation (x + 10) + (x + 14) = 22, the value of x cannot be negative as it would imply negative lengths, which is not possible. There may be a mistake in the values provided or the options for x.

Step-by-step explanation:

To solve for x when B is between A and C and given that AC = 22, BC = x + 14, and AB = x + 10, we can use the property that the sum of the lengths of AB and BC is equal to the length of AC.

So, we have the equation:

AB + BC = AC

(x + 10) + (x + 14) = 22

Combining like terms, we get:

2x + 24 = 22

Subtracting 24 from both sides gives us:

2x = -2

Dividing both sides by 2, we find:

x = -1

However, this value of x cannot be correct as it would result in negative lengths for AB and BC, which is not possible. It appears that there is a mistake in the given values or the options provided for the answer because with the given information, any value of x that satisfies AC = AB + BC must be positive. Please recheck the values provided.